Question: Let T:V-->W and S:W-->U be linear transformation.Show that(adsbygoogle = window.adsbygoogle || []).push({});

1) If T and S are one-to-one,then ST is one-to one

2) If ST is one-to-one,then T is one-to-one

3)Give example of two linear transformations T and S, such

that ST is one-to-one ,but S is not.

For 1),Since T is one-to-one,there is some vector in V,such that T(v)=O

Since S is one-to-one,there is some vector in W,such that S(w)=O

If ST is one-to-one,then there is some vector t in T,such that

ST(t)=S(T(t))=O,so how could I proof T(t)=w?

How about question 2) &3)

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# Need help for one-to one linear transformation

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